2.3.13 Problems 1201 to 1300

Table 2.557: Main lookup table. Sorted by time used to solve.

#	ID	ODE	Solved?	Maple	Mma	Sympy	time(sec)
1201	12827	\begin{align*} y^{\left (5\right )}+a y^{\prime \prime \prime \prime }-f&=0 \\ \end{align*}	✓	✓	✓	✓	0.092
1202	14104	\begin{align*} y^{\prime \prime \prime }-4 y^{\prime \prime }+5 y^{\prime }-2 y&=x \\ \end{align*}	✓	✓	✓	✓	0.092
1203	15262	\begin{align*} y^{\prime \prime \prime }+3 y^{\prime \prime }+3 y^{\prime }+y&=5 \\ \end{align*}	✓	✓	✓	✓	0.092
1204	17550	\begin{align*} y^{\prime \prime \prime \prime }-9 y^{\prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.092
1205	18164	\begin{align*} y^{\prime \prime \prime }+6 y^{\prime \prime }+11 y^{\prime }+6 y&=1 \\ \end{align*}	✓	✓	✓	✓	0.092
1206	19564	\begin{align*} y^{\prime \prime \prime }-y^{\prime \prime }&=12 x -2 \\ \end{align*}	✓	✓	✓	✓	0.092
1207	21283	\begin{align*} x^{\prime \prime }-4 x^{\prime }+3 x&=1 \\ x \left (0\right ) &= 0 \\ x^{\prime }\left (0\right ) &= 0 \\ \end{align*} Using Laplace transform method.	✓	✓	✓	✓	0.092
1208	21292	\begin{align*} x^{\prime }&=x+y \\ y^{\prime }&=-y+\delta \left (t \right ) \\ \end{align*} With initial conditions \begin{align*} x \left (0\right ) &= 0 \\ y \left (0\right ) &= 0 \\ \end{align*}	✓	✓	✓	✗	0.092
1209	23307	\begin{align*} 5 y^{\prime \prime \prime }-5 y^{\prime \prime }+y^{\prime }-2 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.092
1210	24416	\begin{align*} y^{\prime \prime \prime }-y^{\prime \prime }-4 y^{\prime }+4 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.092
1211	24418	\begin{align*} 4 y^{\prime \prime \prime }-13 y^{\prime }+6 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.092
1212	24424	\begin{align*} y^{\prime \prime \prime }-5 y^{\prime }-2 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.092
1213	24475	\begin{align*} y^{\prime \prime \prime }+2 y^{\prime \prime }+y^{\prime }+2 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.092
1214	24493	\begin{align*} 4 y^{\prime \prime \prime }+8 y^{\prime \prime }-11 y^{\prime }+3 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.092
1215	24494	\begin{align*} y^{\prime \prime \prime }+y^{\prime \prime }-16 y^{\prime }-16 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.092
1216	25689	\begin{align*} y^{\prime \prime \prime \prime }-20 y^{\prime \prime \prime }+158 y^{\prime \prime }-580 y^{\prime }+841 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.092
1217	319	\begin{align*} x^{3} y^{\prime \prime \prime }+3 x^{2} y^{\prime \prime }+y^{\prime } x&=0 \\ \end{align*}	✓	✓	✓	✓	0.093
1218	932	\begin{align*} \left (-x^{2}+1\right ) y^{\prime \prime }+2 y^{\prime } x -2 y&=0 \\ \end{align*}	✓	✓	✓	✗	0.093
1219	6633	\begin{align*} y^{\prime \prime \prime }-2 y^{\prime \prime }+y^{\prime }&={\mathrm e}^{x} \\ \end{align*}	✓	✓	✓	✓	0.093
1220	6813	\begin{align*} 40 {y^{\prime \prime \prime }}^{3}-45 y^{\prime \prime } y^{\prime \prime \prime } y^{\prime \prime \prime \prime }+9 {y^{\prime \prime }}^{2} y^{\left (5\right )}&=0 \\ \end{align*}	✗	✓	✓	✗	0.093
1221	7614	\begin{align*} y^{\prime \prime \prime }-y^{\prime }&=0 \\ y \left (0\right ) &= 2 \\ y^{\prime }\left (0\right ) &= 3 \\ y^{\prime \prime }\left (0\right ) &= -1 \\ \end{align*}	✓	✓	✓	✓	0.093
1222	8165	\begin{align*} \left (-x +y\right ) y^{\prime }&=-x +y \\ \end{align*}	✓	✓	✓	✓	0.093
1223	9300	\begin{align*} a^{4} y+2 a^{2} y^{\prime \prime }+y^{\prime \prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.093
1224	10790	\begin{align*} x^{2} y^{\prime \prime }+4 y^{\prime } x +\left (x^{2}+2\right ) y&=0 \\ \end{align*}	✓	✓	✓	✓	0.093
1225	11231	\begin{align*} y^{\prime \prime } x +\left (-2 x +2\right ) y^{\prime }+\left (x -2\right ) y&=0 \\ \end{align*}	✓	✓	✓	✗	0.093
1226	11247	\begin{align*} u^{\prime \prime }+2 u^{\prime }+u&=0 \\ \end{align*}	✓	✓	✓	✓	0.093
1227	15712	\begin{align*} y^{\prime \prime }-y^{\prime }-2 y&=0 \\ y \left (0\right ) &= 0 \\ y^{\prime }\left (0\right ) &= 3 \\ \end{align*} Using Laplace transform method.	✓	✓	✓	✓	0.093
1228	19571	\begin{align*} y^{\prime \prime \prime }-\frac {y^{\prime }}{4}&=x \\ \end{align*}	✓	✓	✓	✓	0.093
1229	24449	\begin{align*} y^{\left (5\right )}-y^{\prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.093
1230	24517	\begin{align*} y^{\prime \prime \prime }+5 y^{\prime \prime }+7 y^{\prime }+3 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.093
1231	962	\begin{align*} x^{3} y^{\prime \prime \prime }+6 x^{2} y^{\prime \prime }+7 y^{\prime } x +y&=0 \\ \end{align*}	✓	✓	✓	✓	0.094
1232	1321	\begin{align*} t^{2} y^{\prime \prime }+3 y^{\prime } t +y&=0 \\ \end{align*}	✓	✓	✓	✓	0.094
1233	3083	\begin{align*} y^{\left (5\right )}+y^{\prime \prime \prime \prime }-13 y^{\prime \prime \prime }-13 y^{\prime \prime }+36 y^{\prime }+36 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.094
1234	6605	\begin{align*} y^{\prime \prime \prime }&=y+x^{2} \\ \end{align*}	✓	✓	✓	✓	0.094
1235	6787	\begin{align*} y+2 y^{\prime \prime \prime }+y^{\left (6\right )}&=0 \\ \end{align*}	✓	✓	✓	✓	0.094
1236	7273	\begin{align*} y^{\prime \prime \prime }+3 y^{\prime \prime }-9 y^{\prime }-5 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.094
1237	10920	\begin{align*} x^{2} y^{\prime \prime }-2 x \left (x +1\right ) y^{\prime }+\left (x^{2}+2 x +2\right ) y&=0 \\ \end{align*}	✓	✓	✓	✗	0.094
1238	12814	\begin{align*} x^{4} y^{\prime \prime \prime \prime }+\left (6-4 a -4 c \right ) x^{3} y^{\prime \prime \prime }+\left (-2 \nu ^{2} c^{2}+2 a^{2}+4 \left (a +c -1\right )^{2}+4 \left (-1+a \right ) \left (c -1\right )-1\right ) x^{2} y^{\prime \prime }+\left (2 \nu ^{2} c^{2}-2 a^{2}-\left (2 a -1\right ) \left (2 c -1\right )\right ) \left (2 a +2 c -1\right ) x y^{\prime }+\left (\left (-\nu ^{2} c^{2}+a^{2}\right ) \left (-\nu ^{2} c^{2}+a^{2}+4 a c +4 c^{2}\right )-b^{4} c^{4} x^{4 c}\right ) y&=0 \\ \end{align*}	✗	✓	✓	✗	0.094
1239	14813	\begin{align*} y^{\prime \prime }-5 y^{\prime }+6 y&=0 \\ y \left (0\right ) &= 1 \\ y^{\prime }\left (0\right ) &= 2 \\ \end{align*} Using Laplace transform method.	✓	✓	✓	✓	0.094
1240	16173	\begin{align*} y^{\prime \prime \prime \prime }&=1 \\ \end{align*}	✓	✓	✓	✓	0.094
1241	18167	\begin{align*} y^{\prime \prime \prime \prime }-y&=1 \\ \end{align*}	✓	✓	✓	✓	0.094
1242	18169	\begin{align*} y^{\prime \prime \prime \prime }-y^{\prime \prime }&=3 \\ \end{align*}	✓	✓	✓	✓	0.094
1243	19574	\begin{align*} y^{\prime \prime \prime }+2 y^{\prime \prime }&=x \\ \end{align*}	✓	✓	✓	✓	0.094
1244	20078	\begin{align*} y^{\prime \prime \prime \prime }-2 y^{\prime \prime \prime }+y^{\prime \prime }&=x \\ \end{align*}	✓	✓	✓	✓	0.094
1245	21197	\begin{align*} x^{\prime \prime \prime \prime }+3 x^{\prime \prime \prime }+2 x^{\prime \prime }&={\mathrm e}^{t} \\ \end{align*}	✓	✓	✓	✓	0.094
1246	24489	\begin{align*} y^{\prime \prime \prime }-y^{\prime \prime }+y^{\prime }-y&=0 \\ \end{align*}	✓	✓	✓	✓	0.094
1247	269	\begin{align*} \left (-x^{2}+1\right ) y^{\prime \prime }-2 y^{\prime } x +2 y&=0 \\ \end{align*}	✓	✓	✓	✗	0.095
1248	955	\begin{align*} y^{\prime \prime \prime }-5 y^{\prime \prime }+100 y^{\prime }-500 y&=0 \\ y \left (0\right ) &= 0 \\ y^{\prime }\left (0\right ) &= 10 \\ y^{\prime \prime }\left (0\right ) &= 250 \\ \end{align*}	✓	✓	✓	✓	0.095
1249	3795	\begin{align*} y^{\prime \prime \prime }+11 y^{\prime \prime }+36 y^{\prime }+26 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.095
1250	8050	\begin{align*} y^{\prime \prime \prime }+y^{\prime \prime }&=x^{2} \\ \end{align*}	✓	✓	✓	✓	0.095
1251	9361	\begin{align*} x^{2} y^{\prime }&=y \\ \end{align*} Series expansion around \(x=0\).	✗	✗	✓	✗	0.095
1252	10012	\begin{align*} \frac {y^{\prime }}{x +y}&=0 \\ \end{align*}	✓	✓	✓	✓	0.095
1253	10802	\begin{align*} y^{\prime \prime } x +\left (-2 x +2\right ) y^{\prime }+\left (x -2\right ) y&=0 \\ \end{align*}	✓	✓	✓	✗	0.095
1254	10921	\begin{align*} x^{2} y^{\prime \prime }-2 x \left (2+x \right ) y^{\prime }+\left (x^{2}+4 x +6\right ) y&=0 \\ \end{align*}	✓	✓	✓	✗	0.095
1255	10922	\begin{align*} x^{2} y^{\prime \prime }-4 y^{\prime } x +\left (x^{2}+6\right ) y&=0 \\ \end{align*}	✓	✓	✓	✓	0.095
1256	11227	\begin{align*} y^{\prime \prime } x +2 y^{\prime }+y x&=0 \\ \end{align*}	✓	✓	✓	✓	0.095
1257	14111	\begin{align*} y^{\prime \prime \prime }-y&=x^{2} \\ \end{align*}	✓	✓	✓	✓	0.095
1258	14345	\begin{align*} x^{\prime \prime \prime }+x^{\prime }&=1 \\ \end{align*}	✓	✓	✓	✓	0.095
1259	15297	\begin{align*} \left (x -1\right ) y^{\prime \prime }-y^{\prime } x +y&=0 \\ \end{align*}	✓	✓	✓	✗	0.095
1260	15309	\begin{align*} x^{3} y^{\prime \prime }+x^{2} y^{\prime }+y&=0 \\ \end{align*} Series expansion around \(x=0\).	✗	✗	✓	✗	0.095
1261	17546	\begin{align*} 6 y^{\prime \prime \prime }-5 y^{\prime \prime }-2 y^{\prime }+y&=0 \\ \end{align*}	✓	✓	✓	✓	0.095
1262	18088	\begin{align*} y^{\prime \prime \prime \prime }&=x \\ \end{align*}	✓	✓	✓	✓	0.095
1263	23264	\begin{align*} y^{\prime \prime \prime }&=x^{2} \\ \end{align*}	✓	✓	✓	✓	0.095
1264	23348	\begin{align*} y^{\prime \prime \prime }-y^{\prime \prime }&=0 \\ y \left (0\right ) &= 1 \\ y^{\prime }\left (0\right ) &= 3 \\ y^{\prime \prime }\left (0\right ) &= 2 \\ \end{align*}	✓	✓	✓	✓	0.095
1265	24420	\begin{align*} x^{\prime \prime \prime }-2 x^{\prime \prime }-3 x^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.095
1266	24423	\begin{align*} 4 y^{\prime \prime \prime }-13 y^{\prime }-6 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.095
1267	24478	\begin{align*} y^{\prime \prime \prime \prime }+2 y^{\prime \prime \prime }+10 y^{\prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.095
1268	24491	\begin{align*} y^{\prime \prime \prime \prime }-13 y^{\prime \prime }+36 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.095
1269	24504	\begin{align*} 8 y^{\prime \prime \prime }-4 y^{\prime \prime }-2 y^{\prime }+y&=0 \\ \end{align*}	✓	✓	✓	✓	0.095
1270	25250	\begin{align*} t^{2} y^{\prime \prime }+2 y^{\prime } t -2 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.095
1271	308	\begin{align*} y^{\prime \prime \prime }-5 y^{\prime \prime }+100 y^{\prime }-500 y&=0 \\ y \left (0\right ) &= 0 \\ y^{\prime }\left (0\right ) &= 10 \\ y^{\prime \prime }\left (0\right ) &= 250 \\ \end{align*}	✓	✓	✓	✓	0.096
1272	318	\begin{align*} x^{3} y^{\prime \prime \prime }-x^{2} y^{\prime \prime }+y^{\prime } x&=0 \\ \end{align*}	✓	✓	✓	✓	0.096
1273	929	\begin{align*} 4 y^{\prime \prime }-4 y^{\prime }+y&=0 \\ \end{align*}	✓	✓	✓	✓	0.096
1274	959	\begin{align*} x^{3} y^{\prime \prime \prime }-x^{2} y^{\prime \prime }+y^{\prime } x&=0 \\ \end{align*}	✓	✓	✓	✓	0.096
1275	1320	\begin{align*} t^{2} y^{\prime \prime }+2 y^{\prime } t -2 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.096
1276	3076	\begin{align*} 2 y^{\prime \prime \prime \prime }-3 y^{\prime \prime \prime }-20 y^{\prime \prime }+27 y^{\prime }+18 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.096
1277	3190	\begin{align*} y^{\prime \prime \prime }-y&=x^{2} \\ \end{align*}	✓	✓	✓	✓	0.096
1278	7229	\begin{align*} y^{\prime }+y&={\mathrm e}^{x} \\ \end{align*}	✓	✓	✓	✓	0.096
1279	7615	\begin{align*} y^{\prime \prime \prime }-2 y^{\prime \prime }-y^{\prime }+2 y&=0 \\ y \left (0\right ) &= 2 \\ y^{\prime }\left (0\right ) &= 3 \\ y^{\prime \prime }\left (0\right ) &= 5 \\ \end{align*}	✓	✓	✓	✓	0.096
1280	7617	\begin{align*} y^{\prime \prime \prime \prime }-5 y^{\prime \prime }+5 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.096
1281	9305	\begin{align*} y^{\left (5\right )}-6 y^{\prime \prime \prime \prime }-8 y^{\prime \prime \prime }+48 y^{\prime \prime }+16 y^{\prime }-96 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.096
1282	10748	\begin{align*} y^{\prime \prime }-4 y^{\prime } x +\left (4 x^{2}-2\right ) y&=0 \\ \end{align*}	✓	✓	✓	✗	0.096
1283	10749	\begin{align*} y^{\prime \prime }-4 y^{\prime } x +\left (4 x^{2}-2\right ) y&=0 \\ \end{align*}	✓	✓	✓	✗	0.096
1284	10845	\begin{align*} x^{2} y^{\prime \prime }+y^{\prime } x +\left (x^{2}-\frac {1}{4}\right ) y&=0 \\ \end{align*}	✓	✓	✓	✓	0.096
1285	10858	\begin{align*} x^{2} y^{\prime \prime }+y^{\prime } x +\left (x^{2}-\frac {1}{4}\right ) y&=0 \\ \end{align*}	✓	✓	✓	✓	0.096
1286	11179	\begin{align*} y^{\prime \prime }-4 y^{\prime } x +\left (4 x^{2}-2\right ) y&=0 \\ \end{align*}	✓	✓	✓	✗	0.096
1287	17541	\begin{align*} y^{\prime \prime \prime }-10 y^{\prime \prime }+25 y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.096
1288	19591	\begin{align*} x^{3} \left (x -1\right ) y^{\prime \prime }-2 \left (x -1\right ) y^{\prime }+3 y x&=0 \\ \end{align*} Series expansion around \(x=0\).	✗	✗	✓	✗	0.096
1289	21881	\begin{align*} y^{\prime \prime \prime \prime }-8 y^{\prime \prime \prime }+42 y^{\prime \prime }-104 y^{\prime }+169 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.096
1290	22641	\begin{align*} y^{\prime \prime \prime \prime }-20 y^{\prime \prime \prime }-16 y^{\prime \prime }+12 y^{\prime }+12 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.096
1291	24419	\begin{align*} 4 y^{\prime \prime \prime }-49 y^{\prime }-60 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.096
1292	24450	\begin{align*} y^{\left (5\right )}-16 y^{\prime \prime \prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.096
1293	24492	\begin{align*} y^{\prime \prime \prime \prime }-5 y^{\prime \prime \prime }+5 y^{\prime \prime }+5 y^{\prime }-6 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.096
1294	25068	\begin{align*} y^{\prime \prime }+8 y^{\prime }+16 y&=0 \\ y \left (0\right ) &= 1 \\ y^{\prime }\left (0\right ) &= -4 \\ \end{align*} Using Laplace transform method.	✓	✓	✓	✓	0.096
1295	25260	\begin{align*} \left (t^{2}+1\right ) y^{\prime \prime }-2 y^{\prime } t +2 y&=0 \\ \end{align*}	✓	✓	✓	✗	0.096
1296	746	\begin{align*} \left (x +y\right ) y^{\prime }&=0 \\ \end{align*}	✓	✓	✓	✓	0.097
1297	1479	\begin{align*} y^{\left (8\right )}+8 y^{\prime \prime \prime \prime }+16 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.097
1298	3109	\begin{align*} y^{\left (5\right )}-y^{\prime \prime \prime \prime }+6 y^{\prime \prime \prime }-6 y^{\prime \prime }+8 y^{\prime }-8 y&=0 \\ \end{align*}	✓	✓	✓	✓	0.097
1299	6788	\begin{align*} y^{\left (8\right )}&=y \\ \end{align*}	✓	✓	✓	✓	0.097
1300	6789	\begin{align*} y-2 y^{\prime \prime \prime \prime }+y^{\left (8\right )}&=0 \\ \end{align*}	✓	✓	✓	✓	0.097